25. Aerobraking. A 5000 kg space pod is returning to Earth from a mission, and is using atmospheric drag to slow itself down. In order to maximize deceleration and to prevent burning up in the atmosphere, the pod has a 1000 kg spherical heat shield (note that this is included in the mass of the space pod) which is 5m in diameter. The pod enters the atmosphere at velocity v = 10 km/s horizontally and encounters a consistent drag force of F = 40.0 kN. 90% of the kinetic energy lost is turned into heat due to friction with the air molecules. This causes the heat shield to heat up and glow. If the specific heat of the heat shield is 10.0 kJ/(kg · K), what is the temperature of the heat shield after a minute if its initial temperature is -20 °C? Answer in degrees Celsius.

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Chapter13: Universal Gravitation
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25. Aerobraking. A 5000 kg space pod is returning to Earth from a mission, and is using atmospheric
drag to slow itself down. In order to maximize deceleration and to prevent burning up in the atmosphere,
the pod has a 1000 kg spherical heat shield (note that this is included in the mass of the space pod) which
is 5m in diameter. The pod enters the atmosphere at velocity v = 10 km/s horizontally and encounters a
consistent drag force of F = 40.0 kN. 90% of the kinetic energy lost is turned into heat due to friction with
the air molecules. This causes the heat shield to heat up and glow. If the specific heat of the heat shield
is 10.0 kJ/(kg · K), what is the temperature of the heat shield after a minute if its initial temperature is
-20°C? Answer in degrees Celsius.
Transcribed Image Text:25. Aerobraking. A 5000 kg space pod is returning to Earth from a mission, and is using atmospheric drag to slow itself down. In order to maximize deceleration and to prevent burning up in the atmosphere, the pod has a 1000 kg spherical heat shield (note that this is included in the mass of the space pod) which is 5m in diameter. The pod enters the atmosphere at velocity v = 10 km/s horizontally and encounters a consistent drag force of F = 40.0 kN. 90% of the kinetic energy lost is turned into heat due to friction with the air molecules. This causes the heat shield to heat up and glow. If the specific heat of the heat shield is 10.0 kJ/(kg · K), what is the temperature of the heat shield after a minute if its initial temperature is -20°C? Answer in degrees Celsius.
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